10102021121121 has 16 divisors (see below), whose sum is σ = 13795166556864. Its totient is φ = 6572063764224.

The previous prime is 10102021121111. The next prime is 10102021121123. The reversal of 10102021121121 is 12112112020101.

It is a happy number.

It is not a de Polignac number, because 10102021121121 - 2⁶ = 10102021121057 is a prime.

It is a super-3 number, since 3×10102021121121³ (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10102021121121.

It is not an unprimeable number, because it can be changed into a prime (10102021121123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35551396 + ... + 35834421.

It is an arithmetic number, because the mean of its divisors is an integer number (862197909804).

Almost surely, 2^{10102021121121} is an apocalyptic number.

It is an amenable number.

10102021121121 is a deficient number, since it is larger than the sum of its proper divisors (3693145435743).

10102021121121 is a wasteful number, since it uses less digits than its factorization.

10102021121121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71386960.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 10102021121121 its reverse (12112112020101), we get a palindrome (22214133141222).

The spelling of 10102021121121 in words is "ten trillion, one hundred two billion, twenty-one million, one hundred twenty-one thousand, one hundred twenty-one".